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One of the major unsolved problems in parametric solid modeling is a robust update (regeneration) of the solid's boundary representation, given a specified change in the solid's parameter values. The fundamental difficulty lies in determining the mapping between boundary representations for solids in the same parametric family. Several heuristic approaches… (More)

One of the fundamental unsolved problems in geometric design of mechanical solids has been the lack of a proper notion of family or class. Numerous heuristic and often incompatible definitions are used throughout the CAD industry, and it is usually not clear how to generate members of a family or, to decide if a given object belongs to an assumed family.… (More)

Dual representation systems rely on a parametric model to create and to manipulate the boundary representation of a solid. Parametric and boundary representations remain consistent if they continue to model the same solid, after updates applied to the paramet-ric model and/or to the boundary representation. We consider the problem of verifying the… (More)

One of the key unsolved problems in parametric solid modeling is a robust update (regeneration) of the solid's boundary representation, given a specified change in solid's parameter values. The fundamental difficulty lies in determining the mapping between boundary representations for solids in the same parametric family, also known as " persistent naming.… (More)

Constructive representations, such as Constructive Solid Geometry (CSG) and its various feature-based extensions are inherently parametric in nature and are well suited for defining parametric family of solids. On the other hand, cell complex representations contain explicit shape elements (cells) and also their topology. However they are non-constructive,… (More)

— This work proposes an algorithm for designing a simple End Effector configuration for a robotic arm which is able to grasp a given set of objects. The algorithm searches for a common 3-finger grasp over a set of objects. The search algorithm maps all possible grasps for each object which satisfy a quality criterion and takes into account an external… (More)

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